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IMAMS
2007
245views Mathematics» more  IMAMS 2007»
13 years 10 months ago
Discrete Surface Ricci Flow: Theory and Applications
Conformal geometry is in the core of pure mathematics. Conformal structure is more flexible than Riemaniann metric but more rigid than topology. Conformal geometric methods have p...
Miao Jin, Junho Kim, Xianfeng David Gu
VISUALIZATION
1998
IEEE
14 years 25 days ago
Interpolation of triangle hierarchies
We consider interpolation between keyframe hierarchies. We impose a set of weak constraints that allows smooth interpolation between two keyframe hierarchies in an animation or, m...
Axel Friedrich, Konrad Polthier, Markus Schmies
COMPGEOM
2005
ACM
13 years 10 months ago
On the exact computation of the topology of real algebraic curves
We consider the problem of computing a representation of the plane graph induced by one (or more) algebraic curves in the real plane. We make no assumptions about the curves, in p...
Raimund Seidel, Nicola Wolpert
ISSAC
2007
Springer
146views Mathematics» more  ISSAC 2007»
14 years 2 months ago
Fast and exact geometric analysis of real algebraic plane curves
An algorithm is presented for the geometric analysis of an algebraic curve f(x, y) = 0 in the real affine plane. It computes a cylindrical algebraic decomposition (CAD) of the pla...
Arno Eigenwillig, Michael Kerber, Nicola Wolpert
SMA
2009
ACM
208views Solid Modeling» more  SMA 2009»
14 years 3 months ago
Accelerating geometric queries using the GPU
We present practical algorithms for accelerating geometric queries on models made of NURBS surfaces using programmable Graphics Processing Units (GPUs). We provide a generalized f...
Adarsh Krishnamurthy, Sara McMains, Kirk Haller